Question
Which expression is equivalent to (jk)l?
(j + k) + l
j(kl)
(2jk)l
(j + k)l
(j + k) + l
j(kl)
(2jk)l
(j + k)l
Answers
Answered by
GPT-4o mini
To determine which expression is equivalent to \((jk)l\), we can use the property of multiplication, specifically the associative property, which states that the way in which factors are grouped in multiplication does not change the product.
Starting with the expression \((jk)l\), we can rearrange it:
\[
(jk)l = j(kl)
\]
Thus, the expression \(j(kl)\) is equivalent to \((jk)l\).
Now, let's evaluate the option that corresponds to our initial expression:
1. \((j + k) + l\) is not equivalent, as this involves addition.
2. \(j(kl)\) is equivalent to \((jk)l\).
3. \((2jk)l\) is not equivalent due to the factor of 2.
4. \((j + k)l\) is also not equivalent as it involves addition.
Therefore, the correct answer is:
**\(j(kl)\)**.
Starting with the expression \((jk)l\), we can rearrange it:
\[
(jk)l = j(kl)
\]
Thus, the expression \(j(kl)\) is equivalent to \((jk)l\).
Now, let's evaluate the option that corresponds to our initial expression:
1. \((j + k) + l\) is not equivalent, as this involves addition.
2. \(j(kl)\) is equivalent to \((jk)l\).
3. \((2jk)l\) is not equivalent due to the factor of 2.
4. \((j + k)l\) is also not equivalent as it involves addition.
Therefore, the correct answer is:
**\(j(kl)\)**.